A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory
A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory
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微扰理论树级扭曲质量、重叠费米子和克罗伊茨费米子截止效应的比较
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发表时间：
2008
期刊：
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通讯作者：
A. Kujawa
中科院分区：
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作者：
K. Cichy;Jénifer González López;A. Kujawa
本文研究了三种不同晶格正则化费米子--最大扭曲质量Wilson、重叠和Creutz费米子在微扰理论的树水平上的截止效应。我们证明了这三种费米子在晶格间距上都表现出预期的O（a^2）标度行为。此外，赝标关联函数C_{PS}$、质量m_{PS}$和衰变常数f_{PS}$的截止效应大小是相当的。
In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of fermions exhibit the expected $O(a^2)$ scaling behaviour in the lattice spacing. Moreover, the size of these cutoff effects for the considered quantities i.e. the pseudoscalar correlation function $C_{PS}$, the mass $m_{PS}$ and the decay constant $f_{PS}$ is comparable for all of them.